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Finding the Fourth Proportional to 5,280.09, 7,917.44 and 1,768.83

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Solution

The fourth proportional to 5,280.09, 7,917.44 and 1,768.83 is: 2,652.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280.09 : 7,917.44 = 1,768.83 : x
  2. Step 2: Convert to fraction form
    5,280.09/7,917.44 = 1,768.83/x
  3. Step 3: Cross multiply
    5,280.09x = 7,917.44 × 1,768.83
  4. Step 4: Simplify right side
    5,280.09x = 14,004,605.40
  5. Step 5: Solve for x
    x = 14,004,605.40/5,280.09
  6. Step 6: Final answer
    x = 2,652.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.